7. Fill in the blanks:(i) -88 ÷ ____ = 11 (ii) 84 ÷ ____ = 12(iii) ____ ÷ -5 = 25 (iv) ____ 156 = -156×(v) (8)×(−7) = ____ (vi) (−12)×(−7) = ____8. The product of two integers is -2700. If one of them is 25, find the other integer.9. An elevator descends into a mine shaft at the rate of 8 m/min. If the descent starts from 12 m above theground level; how long will it take to reach −468 m?10. Ryan was playing a game where catching a fish in the basket adds 10 points to his score. If hecatches an octopus instead, he loses 5 points. What is his total if he catches 3 fish and 5 octopus?11. A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents.(i) Use the number line to find how far the diver should travel in each of the 5 descents.(ii) To solve this problem, you can set up a division problem: _____.−100? =12. Show that:−5 (12 + 7) = (-5 12) + (-5 7)× ×13. The fish in the pond below, carry somenumbers. Choose any 4 pairs and carry out fourmultiplications with those numbers. Now,choose four other pairs and carry out divisionswith these numbers.For example,1. (–13) × (–15) = 1952. (−24) ÷ 9 = −8314. Allen’s score in a video game was changed by -75 points because he missed some targets. He got -15points for each missed target. How many targets did he miss?15. Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong andearned an additional 10 points for answering a bonus question correctly. How many points did Nedreceive or lose overall?16 Use the sign >, <, or = in the following: (Show all the steps of your calculations)(i) _______80 + 69 − 319 − 219 − 100 + 70 + 79(ii) __________19 + (− 40) − 37 32 + (− 66) − (− 39)

8. The product of two integers is -2700. If one of them is 25, find the other integer.9. An elevator descends into a mine shaft at the rate of 8 m/min. If the descent starts from 12 m above theground level; how long will it take to reach −468 m?10. Ryan was playing a game where catching a fish in the basket adds 10 points to his score. If hecatches an octopus instead, he loses 5 points. What is his total if he catches 3 fish and 5 octopus

5. Find a div m and a mod m whena) a = −111, m = 99. b) a = −9999, m = 101.c) a = 10299, m = 999. d) a = 123456, m = 1001.6. Decide whether each of these integers is congruent to 5 modulo 17.a) 80 b) 103 c) −29 d) −1227. Find each of these values.a) (992 mod 32)3 mod 15 b) (34 mod 17)2 mod 11c) (193 mod 23)2 mod 31 d) (893 mod 79)4 mod 268. Convert the decimal expansion of each of these integers to a binary expansion.a) 23 b) 45 c) 241 d) 10259. Convert the binary expansion of each of these integers to a decimal expansion.a) (1 1011)2 b) (10 1011 0101)2c) (11 1011 1110)2 d) (111 1100 0001 1111)2

The difference of two numbers is 7. Their product is 18. What are the two numbers?

3. (i) For any integer a, what is (–1) × a equal to?(ii) Determine the integer whose product with (–1) is(a) –22 (b) 37 (c) 04. Starting from (–1) × 5, write various products showing some pattern to show(–1) × (–1) = 1.5. Find the product, using suitable properties:(a) 26 × (– 48) + (– 48) × (–36) (b) 8 × 53 × (–125)(c) 15 × (–25) × (– 4) × (–10) (d) (– 41) × 102(e) 625 × (–35) + (– 625) × 65 (f) 7 × (50 – 2)(g) (–17) × (–29) (h) (–57) × (–19) + 576. A certain freezing process requires that room temperature be lowered from 40°C atthe rate of 5°C every hour. What will be the room temperature 10 hours after theprocess begins?

The product of two positive numbers is 11520 and their quotient is 9/5. Find the difference of two numbers.Options60747064